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Strong Geodesic Convex Functions of Order m |
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| Authors: | Akhlad Iqbal Izhar Ahmad |
| Affiliation: | 1. Department of Mathematics, Aligarh Muslim University, Aligarh, India;2. akhlad6star@gmail.com;4. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia |
| Abstract: | AbstractStrong geodesic convex function and strong monotone vector field of order m on Riemannian manifolds are established. A characterization of strong geodesic convex function of order m for the continuously differentiable functions is discussed. The relation between the solution of a new variational inequality problem and the strict minimizers of order m for a multiobjective programing problem is also established. |
| Keywords: | Geodesic convex function monotone vector field Riemannian manifolds variational inequality problem |